Finding the Third Proportional to 89,314 and 178,627

Step by Step Solution

1. Step 1: Write the proportion equation
   89,314 : 178,627 = 178,627 : x
2. Step 2: Convert to fraction form
   89,314/178,627 = 178,627/x
3. Step 3: Cross multiply
   89,314x = 178,627 × 178,627
4. Step 4: Simplify right side
   89,314x = 31,907,605,129
5. Step 5: Solve for x
   x = 31,907,605,129/89,314
6. Step 6: Final answer
   x = 357,252.00